On the topology of solenoidal attractors of the cylinder

Rodrigo Bamón; Jan Kiwi; Juan Rivera-Letelier; Richard Urzúa

Displaying similar documents to “On the topology of solenoidal attractors of the cylinder”

Lipschitz stratifications and Lipschitz isotopies

Tadeusz Mostowski (2004)

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Axiom systems for Lipschitz structures

Robert Fraser (1970)

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Measurability of classes of Lipschitz manifolds with respect to Borel $σ$ -algebra of Vietoris topology

Jiří Lhotský (2006)

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Bi-Lipschitz Bijections of Z

Itai Benjamini, Alexander Shamov (2015)

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It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.

Bi-Lipschitz trivialization of the distance function to a stratum of a stratification

Adam Parusiński (2005)

Annales Polonici Mathematici

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Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.

An upper bound for the Lipschitz retraction constant in l₁

Marco Annoni, Emanuele Casini (2007)

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We construct a new lipschitzian retraction from the closed unit ball of the Banach space l₁ onto its boundary, with Lipschitz constant 8.

A note on Lipschitz isomorphisms in Hilbert spaces

Dean Ives (2010)

Commentationes Mathematicae Universitatis Carolinae

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We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?

Lipschitz extensions and Lipschitz retractions in metric spaces

Nguyen Van Khue, Nguyen To Nhu (1981)

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Lipschitz pairs of metric subspaces

J. Wilker (1971)

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